581166227712 has 288 divisors, whose sum is σ = 1797097881600. Its totient is φ = 163304054784.

The previous prime is 581166227657. The next prime is 581166227723. The reversal of 581166227712 is 217722661185.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114242833 + ... + 114247919.

It is an arithmetic number, because the mean of its divisors is an integer number (6239923200).

Almost surely, 2^581166227712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581166227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898548940800).

581166227712 is an abundant number, since it is smaller than the sum of its proper divisors (1215931653888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

581166227712 is a wasteful number, since it uses less digits than its factorization.

581166227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5447 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

Adding to 581166227712 its reverse (217722661185), we get a palindrome (798888888897).

The spelling of 581166227712 in words is "five hundred eighty-one billion, one hundred sixty-six million, two hundred twenty-seven thousand, seven hundred twelve".